- #1
dylanhouse
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Homework Statement
I am having trouble setting up the bounds on the following two integrals:
(a) The region E bounded by the paraboloid y=x2+z2 and the plane y=4.
(b) The region bounded by the cylinder x2+y2=1, z=4, and the paraboloid z=1-x2-y2.
Homework Equations
The Attempt at a Solution
I thought for (a) to use 4 < y < x2+z2
-sqrt(y-z2) < x < sqrt(y-z2)
-sqrt(y-x2) < z < sqrt(y-x2)
But these don't seem right.
I'm not sure where to begin for (b) except that z may be upper bounded by 4?
Thanks in advance.